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Finding the Fourth Proportional to 5,986.14, 8,261.19 and 3,628.14

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Solution

The fourth proportional to 5,986.14, 8,261.19 and 3,628.14 is: 5,007.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986.14 : 8,261.19 = 3,628.14 : x
  2. Step 2: Convert to fraction form
    5,986.14/8,261.19 = 3,628.14/x
  3. Step 3: Cross multiply
    5,986.14x = 8,261.19 × 3,628.14
  4. Step 4: Simplify right side
    5,986.14x = 29,972,753.89
  5. Step 5: Solve for x
    x = 29,972,753.89/5,986.14
  6. Step 6: Final answer
    x = 5,007.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.